fraction with two polynomials divided, use the rules:
1. If the highest exponent of the top is equal to the highest exponent of the bottom, then you put the leading coeff over the leading coeff.
2. If the highest exponent of the top is greater than the highest exponent of the bottom, then you use plus or minus infinity (plug in to see if you get positive or negative)
3. If the highest exponent of the top is less than the highest exponent of the bottom, then it is equal to zero.
**If it doesn't follow the rules,
1. Plug into y=
2. Use the 2nd funtion, then table on your calculator.
3. Plug in 10, 100, 1000, 10000, 100000....
(In the table, if e is negative, then it is equal to zero. If e is positve, then it is equal to infinity.)
Until you see a pattern.
**If it is a geometric(a number raised to n) and |r| <1, then limit=0
If it is greater than 1, then it is infinity.
Example 1:
lim (n^2 -n)/n^3
= 0
lim [3n^2/n]
= infinity
lim (7n^2+5n)/(10n^2)
= 7/10
1. If the highest exponent of the top is equal to the highest exponent of the bottom, then you put the leading coeff over the leading coeff.
2. If the highest exponent of the top is greater than the highest exponent of the bottom, then you use plus or minus infinity (plug in to see if you get positive or negative)
3. If the highest exponent of the top is less than the highest exponent of the bottom, then it is equal to zero.
**If it doesn't follow the rules,
1. Plug into y=
2. Use the 2nd funtion, then table on your calculator.
3. Plug in 10, 100, 1000, 10000, 100000....
(In the table, if e is negative, then it is equal to zero. If e is positve, then it is equal to infinity.)
Until you see a pattern.
**If it is a geometric(a number raised to n) and |r| <1, then limit=0
If it is greater than 1, then it is infinity.
Example 1:
lim (n^2 -n)/n^3
= 0
lim [3n^2/n]
= infinity
lim (7n^2+5n)/(10n^2)
= 7/10
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